Details

Time bar (total: 7.8s)

sample104.0ms

Algorithm
intervals
Results
39.0ms797×body80nan
11.0ms196×body80valid
8.0ms26×body640valid
7.0ms7×body1280valid
2.0ms18×body160valid
2.0ms11×body320valid

simplify131.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0269
1499
21189
32569
45339
512509
626379
742979
845739
945889
1045889

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
5.4b
(log (- 1.0 y))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×log-prod
13×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×flip3-- associate-*l/ flip--
3×log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 94
Calls
4 calls:
14.0ms
(* (- z 1.0) (log (- 1.0 y)))
36.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
10.0ms
(* (- x 1.0) (log y))
2.0ms
(log (- 1.0 y))

series280.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (- z 1.0) (log (- 1.0 y)))
146.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
51.0ms
(* (- x 1.0) (log y))
43.0ms
(log (- 1.0 y))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0498803
11805714
25001701

prune294.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b
(* (- x 1.0) (log y))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
25×*-un-lft-identity
24×log-prod associate-*l/
16×distribute-rgt-in add-cube-cbrt distribute-lft-in frac-add
13×associate--l+
12×frac-times
11×add-log-exp
10×pow1 associate-+r+ associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×difference-of-squares
2×diff-log pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 129
Calls
4 calls:
35.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
37.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
11.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
11.0ms
(* (- x 1.0) (log y))

series501.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
238.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
147.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
54.0ms
(* (- x 1.0) (log y))

simplify131.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08882535
146742460
250012448

prune620.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series726.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt y) (cbrt y))
179.0ms
(cbrt y)
172.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify88.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune426.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (- x 1.0) (log y))) (cbrt (* (- x 1.0) (log y))))
0.5b
(cbrt (* (- x 1.0) (log y)))
0.5b
(cbrt (* (- x 1.0) (log y)))
0.5b
(cbrt (* (- x 1.0) (log y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
11.0ms
(* (cbrt (* (- x 1.0) (log y))) (cbrt (* (- x 1.0) (log y))))
3.0ms
(cbrt (* (- x 1.0) (log y)))
3.0ms
(cbrt (* (- x 1.0) (log y)))
4.0ms
(cbrt (* (- x 1.0) (log y)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (cbrt (* (- x 1.0) (log y))) (cbrt (* (- x 1.0) (log y))))
101.0ms
(cbrt (* (- x 1.0) (log y)))
101.0ms
(cbrt (* (- x 1.0) (log y)))
104.0ms
(cbrt (* (- x 1.0) (log y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0350996
11130931
25002893

prune436.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03523
13523

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s24371×body80nan
325.0ms5863×body80valid
238.0ms765×body640valid
172.0ms274×body1280valid
133.0ms702×body320valid
51.0ms419×body160valid